85977780480 has 360 divisors, whose sum is σ = 309940995672. Its totient is φ = 22756294656.

The previous prime is 85977780463. The next prime is 85977780527. The reversal of 85977780480 is 8408777958.

85977780480 is a `hidden beast` number, since 8 + 5 + 9 + 7 + 77 + 80 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1031180544 + 84946599936 = 32112^2 + 291456^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14201134 + ... + 14207186.

Almost surely, 2^85977780480 is an apocalyptic number.

85977780480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85977780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154970497836).

85977780480 is an abundant number, since it is smaller than the sum of its proper divisors (223963215192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85977780480 is a wasteful number, since it uses less digits than its factorization.

85977780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 85977780480 in words is "eighty-five billion, nine hundred seventy-seven million, seven hundred eighty thousand, four hundred eighty".